Energy Levels According To Second-Order Perturbation Theory

[JordanGo]

Homework Statement

If E₁≠E₂≠E₃, what are the new energy levels according to the second-order perturbation theory?

Homework Equations

H' =
α(0 1 0)
(1 0 1)
(0 1 0)

ψ₁=
(1)
(0)
(0)
ψ₂=
(0)
(1)
(0)
ψ₃=
(0)
(0)
(1)

Second order perturbation theory:
E^{o}_{n}^{2}=\sum(<\Psi_{n}^{o}|H'|\Psi_{o}^{0}>)^{2}/(E_{0}-E_{n})

The Attempt at a Solution

I do not know how to obtain the energies of the unperturbed state, nor the functions ψ, can someone help me?

 

[gabbagabbahey]

Homework Statement

If E₁≠E₂≠E₃, what are the new energy levels according to the second-order perturbation theory?

Homework Equations

H' =
α(0 1 0)
(1 0 1)
(0 1 0)

ψ₁=
(1)
(0)
(0)
ψ₂=
(0)
(1)
(0)
ψ₃=
(0)
(0)
(1)

Second order perturbation theory:
E^{o}_{n}^{2}=\sum(<\Psi_{n}^{o}|H'|\Psi_{o}^{0}>)^{2}/(E_{0}-E_{n})

The Attempt at a Solution

I do not know how to obtain the energies of the unperturbed state, nor the functions ψ, can someone help me?

Can you post the entire problem statement as it was given to you, verbatim (word for word)? It makes no sense to ask for the "new" energy levels without first giving some indication of what the "old" ones are, either directly, or with some context.